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1 July, 04:46

Juwan went to the park traveling 25 mph and returned home traveling 20 mph. If the total trip took 9 hours, how long did Juwan travel at each speed?

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  1. 1 July, 08:24
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    Answer: Juwan spent 4 hours going to the park and 5 hours returning from the park.

    Step-by-step explanation:

    Let t represent the time it took Juwan to travel to the park.

    Juwan went to the park traveling 25 mph.

    Distance = speed * time

    Distance travelled while going to the park is

    25 * t = 25t

    Juwan returned home traveling 20 mph. If the total trip took 9 hours, it means that Juwan spent (9 - t) hours in returning home. Distance travelled while returning home is

    20 (9 - t) = 180 - 20t

    Since the distance travelled is the same, it means that

    25t = 180 - 20t

    25t + 20t = 180

    45t = 180

    t = 180/45 = 4 hours

    Time spent in going to the park is 4 hours.

    Time spent in returning from the park is 9 - 4 = 5 hours
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